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Finding the Fourth Proportional to 137,414.96, 189,638.09 and 76,986.10

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Solution

The fourth proportional to 137,414.96, 189,638.09 and 76,986.10 is: 106,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,414.96 : 189,638.09 = 76,986.10 : x
  2. Step 2: Convert to fraction form
    137,414.96/189,638.09 = 76,986.10/x
  3. Step 3: Cross multiply
    137,414.96x = 189,638.09 × 76,986.10
  4. Step 4: Simplify right side
    137,414.96x = 14,599,496,960.55
  5. Step 5: Solve for x
    x = 14,599,496,960.55/137,414.96
  6. Step 6: Final answer
    x = 106,243.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.